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2 years ago

True or false if the dimensions of a cylinder are doubled then its volume is quadrupled.

2 answers:

8 0

VOLUME OF A CYLINDER = pi X r X r X h

pi X 2r X 2r X 2h = 8pir^2h 

Volume is 8 times 

ANSWER IS FALSE

Travka [436]2 years ago

7 0

Answer: The given statement is FALSE.

Step-by-step explanation: We are given to check whether the following statement is true or false :

"If the dimensions of a cylinder are doubled then its volume is quadrupled."

We know that

the volume of a cylinder with radius r units and height h units is given by

$V=\pi r^2h.$

If the dimensions are doubled, then the new dimensions will be

R = 2r and H = 2h.

Therefore, the new volume will be

$V'=\pi R^2H=\pi \times(2r)^2\times (2h)=8\times \pi r^2 h=8V.$

Thus, the volume of the new cylinder will be 8 times the original one, not quadrupled.

So, the given statement is FALSE.

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Find the value of x for the figure below

lana [24]

Answer:

Step-by-step explanation:

because the top and bottom lines are parallel, we can conclude that the 2 triangles (top and bottom) are similar triangles. This means the sides lengths of smaller triangle is proportional to the respective sides on the larger triangle. With this, we can form the following equation:

x/48 = 21/12 (multiply both sides by 48)

x = (21/12)· 48

x = 21 ·4

x = 84

4 0

2 years ago

Hello I need help with this question

Andreyy89

The answer is x=7. Since the two angles are corresponding. Then it would be 10x-2=9x+5. The answer would be x=7. Please mark me Brainleist

7 0

2 years ago

Madison spent 3 times as long on her social project as she did on her other project. If she spent a total of 8 hours on he proje

deff fn [24]

Answer:

6 hours

Step-by-step explanation:

Suppose Madison spent x hours on her social project,

then the number of hours spent on other project will be 1/3 of x=x/3

Total hours spend on all projects will be the addition of hours spent on social project and hour spent on other project, i.e

x + x/3 = 4x/3

It si given that this is 8 hours, therefore

4x/3=8

Multiplying both sides by 3:

4x=24

Dividing across board by 4:

x= 6 hours

5 0

2 years ago

I'm not sure how to do this! 50 points?

Rus_ich [418]

Answer:

MOP=33

Step-by-step explanation:

MOP + MON = NOP

Substitute what we know

MOP = 3x-3

MON = 4x+9

NOP = 90 right angle

3x-3+4x+9 = 90

Combine like terms

7x+6 =90

Subtract 6 from each side

7x+6-6=90-6

7x = 84

Divide each side by 7

7x/7 = 84/7

x =12

We need to find MOP

MOP = 3x-3

=3(12)-3

36-3

6 0

3 years ago

Read 2 more answers

Over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. Scientists predict that the water level wi

klio [65]

Answer:

Step-by-step explanation:

"In the last 2.5 years, the water level has decreased 0.75 feet."

In the very first statement it has been stated that over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. That means in the last 2.5 years , total decrease in level is as follows

2.5 x - 0.3 = - .75 ft .

So the statement is true.

"The overall change of the water level after 7.5 years will be -2.75 feet."

This statement appears to be false based on information provided

No prediction regarding rate of decrease for a period beyond 5 year has been made so any statement with respect to a timeline of 7.5 years may turn out to be false.

"The change in water level each year for the next 5 years will be -0.4 feet. "

This statement prima-facie appears to be true because rate of decrease stated in the statement is 0.4 ft /year for next 5 years .

D )

"The overall change in water level for the next 5 years is equal to 5(0.4)"

this statement is true

as change in one year = .4

change in 5 years = 5 x .4

5 0

2 years ago